52073481600 has 576 divisors, whose sum is σ = 217329066240. Its totient is φ = 11623772160.

The previous prime is 52073481547. The next prime is 52073481601. The reversal of 52073481600 is 618437025.

52073481600 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 3 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52073481601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8665797 + ... + 8671803.

Almost surely, 2^52073481600 is an apocalyptic number.

52073481600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52073481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108664533120).

52073481600 is an abundant number, since it is smaller than the sum of its proper divisors (165255584640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52073481600 is a wasteful number, since it uses less digits than its factorization.

52073481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 52073481600 in words is "fifty-two billion, seventy-three million, four hundred eighty-one thousand, six hundred".